Write the standard form of the equation of the circle whose radius is r and whose center is (h, k).r = 12; (h, k) = (8, 0)
A. x2 + (y + 8)2 = 12
B. (x + 8)2 + y2 = 144
C. (x - 8)2 + y2 = 144
D. x2 + (y - 8)2 = 12
Answer: C
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You are running an election campaign. The number ?N, in thousands, of people who have decided to vote for your candidate after t days is given by
?
.
?
You expect your candidate to win if she gets 43 thousand votes. Will you ever expect your candidate to win? If so when will the required number of votes be reached? Round your answer to the nearest whole number of days.
?
A. The required number of votes will never be reached. B. The required number of votes is reached after 82 days. C. The required number of votes is reached after 86 days. D. The required number of votes is reached after 88 days.
Evaluate the expression.
A. 5040 B. 0 C. 7 D. 1
Solve the problem.The function A(r) = 4?r2 gives the surface area of a sphere. Find A(1) and interpret. Round to the nearest hundredth, if necessary.the area when the radius is 1 in.
A. A(1) = 37.7; The value of A(1) is the surface area, in square units when the radius is 1 unit(s). B. A(1) = 12.57; The value of A(1) is the measure of the radius when the surface area is 1 square unit(s). C. A(1) = 37.7; The value of A(1) is the measure of the radius when the surface area is 1 square unit(s). D. A(1) = 12.57; The value of A(1) is the surface area, in square units when the radius is 1 unit(s).
Solve the problem.A $118,000 trust is to be invested in bonds paying 7%, CDs paying 5%, and mortgages paying 9%. The bond and CD investment must equal the mortgage investment. To earn a $9000 annual income from the investments, how much should the bank invest in bonds?
A. $22,000 B. $35,000 C. $59,000 D. $37,000